10020101121000 has 192 divisors, whose sum is σ = 35860174206480. Its totient is φ = 2514848870400.

The previous prime is 10020101120993. The next prime is 10020101121049. The reversal of 10020101121000 is 12110102001.

It is a happy number.

10020101121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1885387132836 + 8134713988164 = 1373094^2 + 2852142^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32592429 + ... + 32898428.

Almost surely, 2^{10020101121000} is an apocalyptic number.

10020101121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020101121000 is an abundant number, since it is smaller than the sum of its proper divisors (25840073085480).

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

10020101121000 is a wasteful number, since it uses less digits than its factorization.

10020101121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65490901 (or 65490884 counting only the distinct ones).

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

Adding to 10020101121000 its reverse (12110102001), we get a palindrome (10032211223001).

The spelling of 10020101121000 in words is "ten trillion, twenty billion, one hundred one million, one hundred twenty-one thousand".