101121001002000 has 1200 divisors, whose sum is σ = 412666825454208. Its totient is φ = 23077167321600.

The previous prime is 101121001001959. The next prime is 101121001002031. The reversal of 101121001002000 is 200100121101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 35568412579 + ... + 35568415421.

Almost surely, 2^{101121001002000} is an apocalyptic number.

101121001002000 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 101121001002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206333412727104).

101121001002000 is an abundant number, since it is smaller than the sum of its proper divisors (311545824452208).

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

101121001002000 is an equidigital number, since it uses as much as digits as its factorization.

101121001002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3723 (or 3683 counting only the distinct ones).

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

Adding to 101121001002000 its reverse (200100121101), we get a palindrome (101321101123101).

The spelling of 101121001002000 in words is "one hundred one trillion, one hundred twenty-one billion, one million, two thousand".