101051253105 has 32 divisors (see below), whose sum is σ = 176434467840. Its totient is φ = 48979519680.

The previous prime is 101051253053. The next prime is 101051253131. The reversal of 101051253105 is 501352150101.

It is not a de Polignac number, because 101051253105 - 2¹⁴ = 101051236721 is a prime.

It is a super-2 number, since 2×101051253105² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

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, 455374 + ... + 639896.

It is an arithmetic number, because the mean of its divisors is an integer number (5513577120).

Almost surely, 2^101051253105 is an apocalyptic number.

101051253105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101051253105 is a deficient number, since it is larger than the sum of its proper divisors (75383214735).

101051253105 is a wasteful number, since it uses less digits than its factorization.

101051253105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187861.

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 101051253105 in words is "one hundred one billion, fifty-one million, two hundred fifty-three thousand, one hundred five".