101260262062101 has 16 divisors (see below), whose sum is σ = 142955962250688. Its totient is φ = 63535718188800.

The previous prime is 101260262062087. The next prime is 101260262062103.

101260262062101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101260262062101 - 2²¹ = 101260259964949 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101260262062103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26430091 + ... + 30017831.

It is an arithmetic number, because the mean of its divisors is an integer number (8934747640668).

Almost surely, 2^{101260262062101} is an apocalyptic number.

It is an amenable number.

101260262062101 is a deficient number, since it is larger than the sum of its proper divisors (41695700188587).

101260262062101 is a wasteful number, since it uses less digits than its factorization.

101260262062101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4141172.

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 101260262062101 in words is "one hundred one trillion, two hundred sixty billion, two hundred sixty-two million, sixty-two thousand, one hundred one".