102021444011032 has 128 divisors (see below), whose sum is σ = 235638658160640. Its totient is φ = 40325078154240.

The previous prime is 102021444010979. The next prime is 102021444011093. The reversal of 102021444011032 is 230110444120201.

It is a super-2 number, since 2×102021444011032² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102021444010988 and 102021444011006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6353697148 + ... + 6353713204.

It is an arithmetic number, because the mean of its divisors is an integer number (1840927016880).

Almost surely, 2^{102021444011032} 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 102021444011032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117819329080320).

102021444011032 is an abundant number, since it is smaller than the sum of its proper divisors (133617214149608).

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

102021444011032 is a wasteful number, since it uses less digits than its factorization.

102021444011032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23121 (or 23117 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 102021444011032 its reverse (230110444120201), we get a palindrome (332131888131233).

The spelling of 102021444011032 in words is "one hundred two trillion, twenty-one billion, four hundred forty-four million, eleven thousand, thirty-two".