102010411072 has 112 divisors (see below), whose sum is σ = 224222584320. Its totient is φ = 45800865792.

The previous prime is 102010411033. The next prime is 102010411073. The reversal of 102010411072 is 270114010201.

It is a super-2 number, since 2×102010411072² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102010411073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10229833 + ... + 10239799.

It is an arithmetic number, because the mean of its divisors is an integer number (2001987360).

Almost surely, 2^102010411072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102010411072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112111292160).

102010411072 is an abundant number, since it is smaller than the sum of its proper divisors (122212173248).

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

102010411072 is a wasteful number, since it uses less digits than its factorization.

102010411072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10428 (or 10418 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 102010411072 its reverse (270114010201), we get a palindrome (372124421273).

The spelling of 102010411072 in words is "one hundred two billion, ten million, four hundred eleven thousand, seventy-two".