10101201012000 has 384 divisors, whose sum is σ = 42020999354880. Its totient is φ = 2308845772800.

The previous prime is 10101201011969. The next prime is 10101201012017. The reversal of 10101201012000 is 21010210101.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 5924689 + ... + 7436688.

It is an arithmetic number, because the mean of its divisors is an integer number (109429685820).

Almost surely, 2^{10101201012000} is an apocalyptic number.

10101201012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101201012000 is an abundant number, since it is smaller than the sum of its proper divisors (31919798342880).

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

10101201012000 is a wasteful number, since it uses less digits than its factorization.

10101201012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13361418 (or 13361394 counting only the distinct ones).

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

Adding to 10101201012000 its reverse (21010210101), we get a palindrome (10122211222101).

The spelling of 10101201012000 in words is "ten trillion, one hundred one billion, two hundred one million, twelve thousand".