101101202120100 has 144 divisors (see below), whose sum is σ = 360023973185408. Its totient is φ = 21331242639360.

The previous prime is 101101202120033. The next prime is 101101202120167. The reversal of 101101202120100 is 1021202101101.

It is an interprime number because it is at equal distance from previous prime (101101202120033) and next prime (101101202120167).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1851643069 + ... + 1851697668.

Almost surely, 2^{101101202120100} is an apocalyptic number.

101101202120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101202120100 is an abundant number, since it is smaller than the sum of its proper divisors (258922771065308).

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

101101202120100 is a wasteful number, since it uses less digits than its factorization.

101101202120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703340774 (or 3703340767 counting only the distinct ones).

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

Adding to 101101202120100 its reverse (1021202101101), we get a palindrome (102122404221201).

The spelling of 101101202120100 in words is "one hundred one trillion, one hundred one billion, two hundred two million, one hundred twenty thousand, one hundred".