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10100212001020 = 2251015000104951
BaseRepresentation
bin1001001011111010001110…
…0011000110100011111100
31022202120102010210100210201
42102332203203012203330
52310440213233013040
633251550124013244
72061500445322501
oct222764343064374
938676363710721
1010100212001020
1132445263a9679
1211715a4691224
135835a486484b
1426cbd23b74a8
15127ae2aa7a9a
hex92fa38c68fc

10100212001020 has 24 divisors (see below), whose sum is σ = 21420449614368. Its totient is φ = 4000083960000.

The previous prime is 10100212001003. The next prime is 10100212001029. The reversal of 10100212001020 is 2010021200101.

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

It is a junction number, because it is equal to n+sod(n) for n = 10100212000988 and 10100212001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100212001029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2500050456 + ... + 2500054495.

It is an arithmetic number, because the mean of its divisors is an integer number (892518733932).

Almost surely, 210100212001020 is an apocalyptic number.

10100212001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100212001020 is an abundant number, since it is smaller than the sum of its proper divisors (11320237613348).

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

10100212001020 is a wasteful number, since it uses less digits than its factorization.

10100212001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000105061 (or 5000105059 counting only the distinct ones).

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

Adding to 10100212001020 its reverse (2010021200101), we get a palindrome (12110233201121).

The spelling of 10100212001020 in words is "ten trillion, one hundred billion, two hundred twelve million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 5000104951 10000209902 20000419804 25000524755 50001049510 100002099020 505010600051 1010021200102 2020042400204 2525053000255 5050106000510 10100212001020