101355222553101 has 72 divisors (see below), whose sum is σ = 166053701052512. Its totient is φ = 59483945505600.

The previous prime is 101355222553049. The next prime is 101355222553139.

101355222553101 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 5 + 522 + 25 + 5 + 3 + 101 = 666.

101355222553101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101355222553101 - 2¹³ = 101355222544909 is a prime.

It is a super-3 number, since 3×101355222553101³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101355222554101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2541030 + ... + 14462616.

Almost surely, 2^{101355222553101} is an apocalyptic number.

101355222553101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101355222553101 is a deficient number, since it is larger than the sum of its proper divisors (64698478499411).

101355222553101 is a wasteful number, since it uses less digits than its factorization.

101355222553101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11921863 (or 11921849 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 101355222553101 in words is "one hundred one trillion, three hundred fifty-five billion, two hundred twenty-two million, five hundred fifty-three thousand, one hundred one".