10102100 has 18 divisors (see below), whose sum is σ = 21921774. Its totient is φ = 4040800.

The previous prime is 10102069. The next prime is 10102109. The reversal of 10102100 is 120101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 91204 + 10010896 = 302^2 + 3164^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50411 + ... + 50610.

Almost surely, 2^10102100 is an apocalyptic number.

10102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102100 is an abundant number, since it is smaller than the sum of its proper divisors (11819674).

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

10102100 is a wasteful number, since it uses less digits than its factorization.

10102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101035 (or 101028 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 10102100 is about 3178.3800905493. The cubic root of 10102100 is about 216.1742135893.

Adding to 10102100 its reverse (120101), we get a palindrome (10222201).

The spelling of 10102100 in words is "ten million, one hundred two thousand, one hundred".