101012111002000 has 160 divisors (see below), whose sum is σ = 270967714992000. Its totient is φ = 36109105472000.

The previous prime is 101012111001947. The next prime is 101012111002057. The reversal of 101012111002000 is 200111210101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37612675 + ... + 40208674.

It is an arithmetic number, because the mean of its divisors is an integer number (1693548218700).

Almost surely, 2^{101012111002000} is an apocalyptic number.

101012111002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012111002000 is an abundant number, since it is smaller than the sum of its proper divisors (169955603990000).

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

101012111002000 is a wasteful number, since it uses less digits than its factorization.

101012111002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77821442 (or 77821426 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101012111002000 its reverse (200111210101), we get a palindrome (101212222212101).

The spelling of 101012111002000 in words is "one hundred one trillion, twelve billion, one hundred eleven million, two thousand".