101011000100010 has 256 divisors, whose sum is σ = 334292768022528. Its totient is φ = 18851095526400.

The previous prime is 101011000099979. The next prime is 101011000100039. The reversal of 101011000100010 is 10001000110101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44343886 + ... + 46566105.

It is an arithmetic number, because the mean of its divisors is an integer number (1305831125088).

Almost surely, 2^{101011000100010} is an apocalyptic number.

101011000100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101011000100010 is an abundant number, since it is smaller than the sum of its proper divisors (233281767922518).

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

101011000100010 is a wasteful number, since it uses less digits than its factorization.

101011000100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90910069.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101011000100010 its reverse (10001000110101), we get a palindrome (111012000210111).

The spelling of 101011000100010 in words is "one hundred one trillion, eleven billion, one hundred thousand, ten".