1021672052100 has 432 divisors, whose sum is σ = 3706348417408. Its totient is φ = 230577684480.

The previous prime is 1021672052087. The next prime is 1021672052131. The reversal of 1021672052100 is 12502761201.

1021672052100 is a `hidden beast` number, since 102 + 16 + 7 + 20 + 521 + 0 + 0 = 666.

It is a super-2 number, since 2×1021672052100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 161220132 + ... + 161226468.

Almost surely, 2^{1021672052100} is an apocalyptic number.

1021672052100 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 1021672052100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853174208704).

1021672052100 is an abundant number, since it is smaller than the sum of its proper divisors (2684676365308).

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

1021672052100 is a wasteful number, since it uses less digits than its factorization.

1021672052100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6684 (or 6674 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 1021672052100 in words is "one trillion, twenty-one billion, six hundred seventy-two million, fifty-two thousand, one hundred".