101211101122110 has 128 divisors (see below), whose sum is σ = 281893239936000. Its totient is φ = 22779249905664.

The previous prime is 101211101122091. The next prime is 101211101122129. The reversal of 101211101122110 is 11221101112101.

It is an interprime number because it is at equal distance from previous prime (101211101122091) and next prime (101211101122129).

It is a super-2 number, since 2×101211101122110² (a number of 29 digits) contains 22 as substring.

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 101211101122110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8597860 + ... + 16623639.

It is an arithmetic number, because the mean of its divisors is an integer number (2202290937000).

Almost surely, 2^{101211101122110} is an apocalyptic number.

101211101122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101211101122110 is an abundant number, since it is smaller than the sum of its proper divisors (180682138813890).

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

101211101122110 is a wasteful number, since it uses less digits than its factorization.

101211101122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25221810.

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

Adding to 101211101122110 its reverse (11221101112101), we get a palindrome (112432202234211).

The spelling of 101211101122110 in words is "one hundred one trillion, two hundred eleven billion, one hundred one million, one hundred twenty-two thousand, one hundred ten".