101148961456655 has 64 divisors (see below), whose sum is σ = 148900415367168. Its totient is φ = 64380815953920.

The previous prime is 101148961456651. The next prime is 101148961456681. The reversal of 101148961456655 is 556654169841101.

It is a Cunningham number, because it is equal to 10057284²-1.

It is not a de Polignac number, because 101148961456655 - 2² = 101148961456651 is a prime.

It is a super-2 number, since 2×101148961456655² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101148961456651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 734112920 + ... + 734250690.

It is an arithmetic number, because the mean of its divisors is an integer number (2326568990112).

Almost surely, 2^{101148961456655} is an apocalyptic number.

101148961456655 is a deficient number, since it is larger than the sum of its proper divisors (47751453910513).

101148961456655 is a wasteful number, since it uses less digits than its factorization.

101148961456655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154776.

The product of its (nonzero) digits is 31104000, while the sum is 62.

The spelling of 101148961456655 in words is "one hundred one trillion, one hundred forty-eight billion, nine hundred sixty-one million, four hundred fifty-six thousand, six hundred fifty-five".