101211012221100 has 144 divisors (see below), whose sum is σ = 295718873093280. Its totient is φ = 26725290854400.

The previous prime is 101211012221087. The next prime is 101211012221107. The reversal of 101211012221100 is 1122210112101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101211012221100.

It is not an unprimeable number, because it can be changed into a prime (101211012221107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8652066 + ... + 16651734.

It is an arithmetic number, because the mean of its divisors is an integer number (2053603285370).

Almost surely, 2^{101211012221100} is an apocalyptic number.

101211012221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101211012221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147859436546640).

101211012221100 is an abundant number, since it is smaller than the sum of its proper divisors (194507860872180).

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

101211012221100 is a wasteful number, since it uses less digits than its factorization.

101211012221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8000100 (or 8000093 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101211012221100 its reverse (1122210112101), we get a palindrome (102333222333201).

The spelling of 101211012221100 in words is "one hundred one trillion, two hundred eleven billion, twelve million, two hundred twenty-one thousand, one hundred".