101211222212100 has 1728 divisors, whose sum is σ = 429353471619072. Its totient is φ = 19258477056000.

The previous prime is 101211222212069. The next prime is 101211222212101. The reversal of 101211222212100 is 1212222112101.

101211222212100 is a `hidden beast` number, since 1 + 0 + 1 + 211 + 22 + 221 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101211222212101) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 86431444515 + ... + 86431445685.

It is an arithmetic number, because the mean of its divisors is an integer number (248468444224).

Almost surely, 2^{101211222212100} is an apocalyptic number.

101211222212100 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 101211222212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214676735809536).

101211222212100 is an abundant number, since it is smaller than the sum of its proper divisors (328142249406972).

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

101211222212100 is a wasteful number, since it uses less digits than its factorization.

101211222212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101211222212100 its reverse (1212222112101), we get a palindrome (102423444324201).

Subtracting from 101211222212100 its reverse (1212222112101), we obtain a palindrome (99999000099999).

It can be divided in two parts, 10121 and 1222212100, that added together give a palindrome (1222222221).

The spelling of 101211222212100 in words is "one hundred one trillion, two hundred eleven billion, two hundred twenty-two million, two hundred twelve thousand, one hundred".