202102001101000 has 384 divisors, whose sum is σ = 638456616495360. Its totient is φ = 58147225344000.

The previous prime is 202102001100977. The next prime is 202102001101003. The reversal of 202102001101000 is 101100201202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (202102001101003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5247612 + ... + 20778388.

It is an arithmetic number, because the mean of its divisors is an integer number (1662647438790).

Almost surely, 2^{202102001101000} is an apocalyptic number.

202102001101000 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 202102001101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319228308247680).

202102001101000 is an abundant number, since it is smaller than the sum of its proper divisors (436354615394360).

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

202102001101000 is a wasteful number, since it uses less digits than its factorization.

202102001101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15530842 (or 15530815 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 202102001101000 its reverse (101100201202), we get a palindrome (202203101302202).

The spelling of 202102001101000 in words is "two hundred two trillion, one hundred two billion, one million, one hundred one thousand".