101311213223100 has 72 divisors (see below), whose sum is σ = 297255661170048. Its totient is φ = 26635811921600.

The previous prime is 101311213223081. The next prime is 101311213223119. The reversal of 101311213223100 is 1322312113101.

It is an interprime number because it is at equal distance from previous prime (101311213223081) and next prime (101311213223119).

It is a super-2 number, since 2×101311213223100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2378176194 + ... + 2378218793.

It is an arithmetic number, because the mean of its divisors is an integer number (4128550849584).

Almost surely, 2^{101311213223100} is an apocalyptic number.

101311213223100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101311213223100 is an abundant number, since it is smaller than the sum of its proper divisors (195944447946948).

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

101311213223100 is a wasteful number, since it uses less digits than its factorization.

101311213223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4756395075 (or 4756395068 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 101311213223100 its reverse (1322312113101), we get a palindrome (102633525336201).

The spelling of 101311213223100 in words is "one hundred one trillion, three hundred eleven billion, two hundred thirteen million, two hundred twenty-three thousand, one hundred".