21335990100642 has 192 divisors, whose sum is σ = 55866442604544. Its totient is φ = 5755763784960.

The previous prime is 21335990100629. The next prime is 21335990100697. The reversal of 21335990100642 is 24600109953312.

21335990100642 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 599 + 0 + 10 + 0 + 6 + 42 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152267878 + ... + 152407934.

It is an arithmetic number, because the mean of its divisors is an integer number (290971055232).

Almost surely, 2^{21335990100642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21335990100642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27933221302272).

21335990100642 is an abundant number, since it is smaller than the sum of its proper divisors (34530452503902).

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

21335990100642 is a wasteful number, since it uses less digits than its factorization.

21335990100642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141053 (or 141050 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 21335990100642 in words is "twenty-one trillion, three hundred thirty-five billion, nine hundred ninety million, one hundred thousand, six hundred forty-two".