101020101110000 has 100 divisors (see below), whose sum is σ = 246446791113864. Its totient is φ = 40099581600000.

The previous prime is 101020101109951. The next prime is 101020101110009. The reversal of 101020101110000 is 11101020101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a self number, because there is not a number n which added to its sum of digits gives 101020101110000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020101110009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37247291 + ... + 39867290.

Almost surely, 2^{101020101110000} is an apocalyptic number.

101020101110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020101110000 is an abundant number, since it is smaller than the sum of its proper divisors (145426690003864).

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

101020101110000 is an equidigital number, since it uses as much as digits as its factorization.

101020101110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77114740 (or 77114719 counting only the distinct ones).

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

Adding to 101020101110000 its reverse (11101020101), we get a palindrome (101031202130101).

The spelling of 101020101110000 in words is "one hundred one trillion, twenty billion, one hundred one million, one hundred ten thousand".