20261974001100 has 288 divisors, whose sum is σ = 64709225011200. Its totient is φ = 4863522908160.

The previous prime is 20261974001041. The next prime is 20261974001131. The reversal of 20261974001100 is 110047916202.

It is a happy 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 95 ways as a sum of consecutive naturals, for example, 101694376 + ... + 101893424.

Almost surely, 2^{20261974001100} is an apocalyptic number.

20261974001100 is a gapful number since it is divisible by the number (20) 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 20261974001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32354612505600).

20261974001100 is an abundant number, since it is smaller than the sum of its proper divisors (44447251010100).

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

20261974001100 is a wasteful number, since it uses less digits than its factorization.

20261974001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199729 (or 199722 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 20261974001100 in words is "twenty trillion, two hundred sixty-one billion, nine hundred seventy-four million, one thousand, one hundred".