101211220001100 has 144 divisors (see below), whose sum is σ = 319500891634176. Its totient is φ = 24532867680000.

The previous prime is 101211220001009. The next prime is 101211220001119. The reversal of 101211220001100 is 1100022112101.

It is a super-2 number, since 2×101211220001100² (a number of 29 digits) contains 22 as substring.

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, 23478925 + ... + 27453275.

It is an arithmetic number, because the mean of its divisors is an integer number (2218756191904).

Almost surely, 2^{101211220001100} is an apocalyptic number.

101211220001100 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 101211220001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159750445817088).

101211220001100 is an abundant number, since it is smaller than the sum of its proper divisors (218289671633076).

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

101211220001100 is a wasteful number, since it uses less digits than its factorization.

101211220001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3982096 (or 3982089 counting only the distinct ones).

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

Adding to 101211220001100 its reverse (1100022112101), we get a palindrome (102311242113201).

The spelling of 101211220001100 in words is "one hundred one trillion, two hundred eleven billion, two hundred twenty million, one thousand, one hundred".