10102021121010 has 256 divisors, whose sum is σ = 31643579003904. Its totient is φ = 2002960023552.

The previous prime is 10102021120957. The next prime is 10102021121011. The reversal of 10102021121010 is 1012112020101.

It is not an unprimeable number, because it can be changed into a prime (10102021121011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30139062 + ... + 30472398.

It is an arithmetic number, because the mean of its divisors is an integer number (123607730484).

Almost surely, 2^{10102021121010} is an apocalyptic number.

10102021121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102021121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15821789501952).

10102021121010 is an abundant number, since it is smaller than the sum of its proper divisors (21541557882894).

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

10102021121010 is a wasteful number, since it uses less digits than its factorization.

10102021121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334037.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10102021121010 its reverse (1012112020101), we get a palindrome (11114133141111).

The spelling of 10102021121010 in words is "ten trillion, one hundred two billion, twenty-one million, one hundred twenty-one thousand, ten".