102101003443100 has 72 divisors (see below), whose sum is σ = 222367198057200. Its totient is φ = 40691468344320.

The previous prime is 102101003443073. The next prime is 102101003443121. The reversal of 102101003443100 is 1344300101201.

It is a super-2 number, since 2×102101003443100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1045543076 + ... + 1045640724.

It is an arithmetic number, because the mean of its divisors is an integer number (3088433306350).

Almost surely, 2^{102101003443100} is an apocalyptic number.

102101003443100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101003443100 is an abundant number, since it is smaller than the sum of its proper divisors (120266194614100).

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

102101003443100 is a wasteful number, since it uses less digits than its factorization.

102101003443100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135687 (or 135680 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 102101003443100 its reverse (1344300101201), we get a palindrome (103445303544301).

The spelling of 102101003443100 in words is "one hundred two trillion, one hundred one billion, three million, four hundred forty-three thousand, one hundred".