101333212132110 has 384 divisors, whose sum is σ = 291722962821120. Its totient is φ = 22445242960896.

The previous prime is 101333212132093. The next prime is 101333212132169. The reversal of 101333212132110 is 11231212333101.

It is a super-2 number, since 2×101333212132110² (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 191 ways as a sum of consecutive naturals, for example, 14511411679 + ... + 14511418661.

It is an arithmetic number, because the mean of its divisors is an integer number (759695215680).

Almost surely, 2^{101333212132110} is an apocalyptic number.

101333212132110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101333212132110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145861481410560).

101333212132110 is an abundant number, since it is smaller than the sum of its proper divisors (190389750689010).

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

101333212132110 is a wasteful number, since it uses less digits than its factorization.

101333212132110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8080 (or 8073 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 101333212132110 its reverse (11231212333101), we get a palindrome (112564424465211).

The spelling of 101333212132110 in words is "one hundred one trillion, three hundred thirty-three billion, two hundred twelve million, one hundred thirty-two thousand, one hundred ten".