101011100102000 has 160 divisors (see below), whose sum is σ = 269087030417088. Its totient is φ = 36367632000000.

The previous prime is 101011100101949. The next prime is 101011100102023. The reversal of 101011100102000 is 201001110101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20507771 + ... + 24951770.

Almost surely, 2^{101011100102000} is an apocalyptic number.

101011100102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011100102000 is an abundant number, since it is smaller than the sum of its proper divisors (168075930315088).

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

101011100102000 is a wasteful number, since it uses less digits than its factorization.

101011100102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45459676 (or 45459660 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101011100102000 its reverse (201001110101), we get a palindrome (101212101212101).

The spelling of 101011100102000 in words is "one hundred one trillion, eleven billion, one hundred million, one hundred two thousand".