102112201012010 has 128 divisors (see below), whose sum is σ = 226220433984000. Its totient is φ = 32387017310208.

The previous prime is 102112201011929. The next prime is 102112201012021. The reversal of 102112201012010 is 10210102211201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 469525976 + ... + 469743404.

It is an arithmetic number, because the mean of its divisors is an integer number (1767347140500).

Almost surely, 2^{102112201012010} is an apocalyptic number.

102112201012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102112201012010 is an abundant number, since it is smaller than the sum of its proper divisors (124108232971990).

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

102112201012010 is a wasteful number, since it uses less digits than its factorization.

102112201012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224208.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102112201012010 its reverse (10210102211201), we get a palindrome (112322303223211).

The spelling of 102112201012010 in words is "one hundred two trillion, one hundred twelve billion, two hundred one million, twelve thousand, ten".