100102121010010 has 128 divisors (see below), whose sum is σ = 220061532561408. Its totient is φ = 32045687520000.

The previous prime is 100102121010007. The next prime is 100102121010011. The reversal of 100102121010010 is 10010121201001.

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

It is not an unprimeable number, because it can be changed into a prime (100102121010011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7210125 + ... + 15880495.

It is an arithmetic number, because the mean of its divisors is an integer number (1719230723136).

Almost surely, 2^{100102121010010} is an apocalyptic number.

100102121010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100102121010010 is an abundant number, since it is smaller than the sum of its proper divisors (119959411551398).

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

100102121010010 is a wasteful number, since it uses less digits than its factorization.

100102121010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8670580.

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

Adding to 100102121010010 its reverse (10010121201001), we get a palindrome (110112242211011).

The spelling of 100102121010010 in words is "one hundred trillion, one hundred two billion, one hundred twenty-one million, ten thousand, ten".