101210100201100 has 108 divisors (see below), whose sum is σ = 241923945142152. Its totient is φ = 36724862028800.

The previous prime is 101210100201073. The next prime is 101210100201109. The reversal of 101210100201100 is 1102001012101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101210100201109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3304837 + ... + 14606236.

It is an arithmetic number, because the mean of its divisors is an integer number (2240036529094).

Almost surely, 2^{101210100201100} is an apocalyptic number.

101210100201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210100201100 is an abundant number, since it is smaller than the sum of its proper divisors (140713844941052).

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

101210100201100 is a wasteful number, since it uses less digits than its factorization.

101210100201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17911576 (or 17911558 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101210100201100 its reverse (1102001012101), we get a palindrome (102312101213201).

The spelling of 101210100201100 in words is "one hundred one trillion, two hundred ten billion, one hundred million, two hundred one thousand, one hundred".