1020102616980 has 144 divisors (see below), whose sum is σ = 3262016896320. Its totient is φ = 257326626816.

The previous prime is 1020102616979. The next prime is 1020102616991. The reversal of 1020102616980 is 896162010201.

1020102616980 is a `hidden beast` number, since 1 + 0 + 20 + 10 + 2 + 616 + 9 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2080059 + ... + 2523261.

Almost surely, 2^{1020102616980} is an apocalyptic number.

1020102616980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020102616980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631008448160).

1020102616980 is an abundant number, since it is smaller than the sum of its proper divisors (2241914279340).

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

1020102616980 is a wasteful number, since it uses less digits than its factorization.

1020102616980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443910 (or 443905 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 1020102616980 in words is "one trillion, twenty billion, one hundred two million, six hundred sixteen thousand, nine hundred eighty".