101101211202000 has 80 divisors (see below), whose sum is σ = 325950304934592. Its totient is φ = 26960322985600.

The previous prime is 101101211201971. The next prime is 101101211202001. The reversal of 101101211202000 is 202112101101.

101101211202000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×101101211202000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101211202001) 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, 8425094934 + ... + 8425106933.

Almost surely, 2^{101101211202000} is an apocalyptic number.

101101211202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101211202000 is an abundant number, since it is smaller than the sum of its proper divisors (224849093732592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101101211202000 is a wasteful number, since it uses less digits than its factorization.

101101211202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16850201893 (or 16850201877 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101101211202000 its reverse (202112101101), we get a palindrome (101303323303101).

The spelling of 101101211202000 in words is "one hundred one trillion, one hundred one billion, two hundred eleven million, two hundred two thousand".