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1010021202100 = 225231467697673
BaseRepresentation
bin11101011001010011111…
…01000111100010110100
310120120001010002020102101
432230221331013202310
5113022010411431400
62051555231351444
7132654160364461
oct16545175074264
93516033066371
101010021202100
1135a3907013a9
121438ba082584
137432449a621
1436c57328668
151b41641156a
hexeb29f478b4

1010021202100 has 72 divisors (see below), whose sum is σ = 2267295383808. Its totient is φ = 390138182400.

The previous prime is 1010021202067. The next prime is 1010021202101. The reversal of 1010021202100 is 12021200101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010021202101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1098864 + ... + 1796536.

It is an arithmetic number, because the mean of its divisors is an integer number (31490213664).

Almost surely, 21010021202100 is an apocalyptic number.

1010021202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010021202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133647691904).

1010021202100 is an abundant number, since it is smaller than the sum of its proper divisors (1257274181708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010021202100 is a wasteful number, since it uses less digits than its factorization.

1010021202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698185 (or 698178 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1010021202100 its reverse (12021200101), we get a palindrome (1022042402201).

It can be divided in two parts, 1010021 and 202100, that added together give a palindrome (1212121).

The spelling of 1010021202100 in words is "one trillion, ten billion, twenty-one million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 467 620 775 934 1550 1868 2335 3100 4670 9340 11675 14477 23350 28954 46700 57908 72385 144770 289540 361925 697673 723850 1395346 1447700 2790692 3488365 6976730 13953460 17441825 21627863 34883650 43255726 69767300 86511452 108139315 216278630 325813291 432557260 540696575 651626582 1081393150 1303253164 1629066455 2162786300 3258132910 6516265820 8145332275 10100212021 16290664550 20200424042 32581329100 40400848084 50501060105 101002120210 202004240420 252505300525 505010601050 1010021202100