1020100102032 has 40 divisors (see below), whose sum is σ = 2874827561760. Its totient is φ = 309121242880.

The previous prime is 1020100101953. The next prime is 1020100102033. The reversal of 1020100102032 is 2302010010201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1020100101999 and 1020100102017.

It is not an unprimeable number, because it can be changed into a prime (1020100102033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 966003357 + ... + 966004412.

It is an arithmetic number, because the mean of its divisors is an integer number (71870689044).

Almost surely, 2^{1020100102032} is an apocalyptic number.

1020100102032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020100102032 is an abundant number, since it is smaller than the sum of its proper divisors (1854727459728).

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

1020100102032 is a wasteful number, since it uses less digits than its factorization.

1020100102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932007791 (or 1932007785 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1020100102032 its reverse (2302010010201), we get a palindrome (3322110112233).

The spelling of 1020100102032 in words is "one trillion, twenty billion, one hundred million, one hundred two thousand, thirty-two".