101011212211110 has 256 divisors, whose sum is σ = 252164146139136. Its totient is φ = 25878528000000.

The previous prime is 101011212211109. The next prime is 101011212211177. The reversal of 101011212211110 is 11112212110101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101011212211110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11222216610 + ... + 11222225610.

It is an arithmetic number, because the mean of its divisors is an integer number (985016195856).

Almost surely, 2^{101011212211110} is an apocalyptic number.

101011212211110 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 101011212211110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126082073069568).

101011212211110 is an abundant number, since it is smaller than the sum of its proper divisors (151152933928026).

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

101011212211110 is a wasteful number, since it uses less digits than its factorization.

101011212211110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9711.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101011212211110 its reverse (11112212110101), we get a palindrome (112123424321211).

The spelling of 101011212211110 in words is "one hundred one trillion, eleven billion, two hundred twelve million, two hundred eleven thousand, one hundred ten".