101021112210100 has 144 divisors (see below), whose sum is σ = 237791715106176. Its totient is φ = 37100819968000.

The previous prime is 101021112210071. The next prime is 101021112210107. The reversal of 101021112210100 is 1012211120101.

It is a happy number.

It is a super-2 number, since 2×101021112210100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021112210107) 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, 954209769 + ... + 954315631.

It is an arithmetic number, because the mean of its divisors is an integer number (1651331354904).

Almost surely, 2^{101021112210100} is an apocalyptic number.

101021112210100 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 101021112210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118895857553088).

101021112210100 is an abundant number, since it is smaller than the sum of its proper divisors (136770602896076).

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

101021112210100 is a wasteful number, since it uses less digits than its factorization.

101021112210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119626 (or 119619 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101021112210100 its reverse (1012211120101), we get a palindrome (102033323330201).

The spelling of 101021112210100 in words is "one hundred one trillion, twenty-one billion, one hundred twelve million, two hundred ten thousand, one hundred".