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1001211102100 = 2252111516027761
BaseRepresentation
bin11101001000111001101…
…01010000001110010100
310112201022010022210020101
432210130311100032110
5112400440020231400
62043541112343444
7132222641643646
oct16443465201624
93481263283211
101001211102100
1135667a624920
1214205b6a4b84
137354c1793c1
143665d226896
151b09cc4656a
hexe91cd50394

1001211102100 has 72 divisors (see below), whose sum is σ = 2385836421696. Its totient is φ = 361665600000.

The previous prime is 1001211102061. The next prime is 1001211102197. The reversal of 1001211102100 is 12011121001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2847781 + ... + 3179980.

It is an arithmetic number, because the mean of its divisors is an integer number (33136616968).

Almost surely, 21001211102100 is an apocalyptic number.

1001211102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001211102100 is an abundant number, since it is smaller than the sum of its proper divisors (1384625319596).

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

1001211102100 is a wasteful number, since it uses less digits than its factorization.

1001211102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6027937 (or 6027930 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1001211102100 its reverse (12011121001), we get a palindrome (1013222223101).

The spelling of 1001211102100 in words is "one trillion, one billion, two hundred eleven million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 151 220 275 302 550 604 755 1100 1510 1661 3020 3322 3775 6644 7550 8305 15100 16610 33220 41525 83050 166100 6027761 12055522 24111044 30138805 60277610 66305371 120555220 132610742 150694025 265221484 301388050 331526855 602776100 663053710 910191911 1326107420 1657634275 1820383822 3315268550 3640767644 4550959555 6630537100 9101919110 10012111021 18203838220 20024222042 22754797775 40048444084 45509595550 50060555105 91019191100 100121110210 200242220420 250302775525 500605551050 1001211102100