101021010021000 has 192 divisors, whose sum is σ = 356296710856320. Its totient is φ = 25767677865600.

The previous prime is 101021010020999. The next prime is 101021010021007. The reversal of 101021010021000 is 120010120101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101021010021007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243805102 + ... + 244219101.

It is an arithmetic number, because the mean of its divisors is an integer number (1855712035710).

Almost surely, 2^{101021010021000} is an apocalyptic number.

101021010021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021010021000 is an abundant number, since it is smaller than the sum of its proper divisors (255275700835320).

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

101021010021000 is a wasteful number, since it uses less digits than its factorization.

101021010021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488024253 (or 488024236 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101021010021000 its reverse (120010120101), we get a palindrome (101141020141101).

The spelling of 101021010021000 in words is "one hundred one trillion, twenty-one billion, ten million, twenty-one thousand".