101251416045 has 48 divisors (see below), whose sum is σ = 176600563200. Its totient is φ = 49512123648.

The previous prime is 101251416023. The next prime is 101251416059. The reversal of 101251416045 is 540614152101.

It is not a de Polignac number, because 101251416045 - 2⁶ = 101251415981 is a prime.

It is a super-2 number, since 2×101251416045² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 243684 + ... + 511746.

It is an arithmetic number, because the mean of its divisors is an integer number (3679178400).

Almost surely, 2^101251416045 is an apocalyptic number.

101251416045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101251416045 is a deficient number, since it is larger than the sum of its proper divisors (75349147155).

101251416045 is a wasteful number, since it uses less digits than its factorization.

101251416045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268246 (or 268233 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 101251416045 its reverse (540614152101), we get a palindrome (641865568146).

The spelling of 101251416045 in words is "one hundred one billion, two hundred fifty-one million, four hundred sixteen thousand, forty-five".