101211001121100 has 144 divisors (see below), whose sum is σ = 317479631565600. Its totient is φ = 24746272512000.

The previous prime is 101211001121089. The next prime is 101211001121119. The reversal of 101211001121100 is 1121100112101.

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, 86504601 + ... + 87666800.

It is an arithmetic number, because the mean of its divisors is an integer number (2204719663650).

Almost surely, 2^{101211001121100} is an apocalyptic number.

101211001121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211001121100 is an abundant number, since it is smaller than the sum of its proper divisors (216268630444500).

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

101211001121100 is a wasteful number, since it uses less digits than its factorization.

101211001121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174171580 (or 174171573 counting only the distinct ones).

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

Adding to 101211001121100 its reverse (1121100112101), we get a palindrome (102332101233201).

The spelling of 101211001121100 in words is "one hundred one trillion, two hundred eleven billion, one million, one hundred twenty-one thousand, one hundred".