101002111211100 has 144 divisors (see below), whose sum is σ = 326574986363136. Its totient is φ = 23888156352000.

The previous prime is 101002111211087. The next prime is 101002111211137. The reversal of 101002111211100 is 1112111200101.

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

It is a congruent number.

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, 373117144 + ... + 373387743.

It is an arithmetic number, because the mean of its divisors is an integer number (2267881849744).

Almost surely, 2^{101002111211100} is an apocalyptic number.

101002111211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002111211100 is an abundant number, since it is smaller than the sum of its proper divisors (225572875152036).

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

101002111211100 is a wasteful number, since it uses less digits than its factorization.

101002111211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746504956 (or 746504949 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101002111211100 its reverse (1112111200101), we get a palindrome (102114222411201).

It can be divided in two parts, 10100211 and 1211100, that added together give a palindrome (11311311).

The spelling of 101002111211100 in words is "one hundred one trillion, two billion, one hundred eleven million, two hundred eleven thousand, one hundred".