101001121122110 has 32 divisors (see below), whose sum is σ = 198340615775232. Its totient is φ = 36725617154080.

The previous prime is 101001121122101. The next prime is 101001121122113. The reversal of 101001121122110 is 11221121100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001121122113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23823002 + ... + 27740541.

It is an arithmetic number, because the mean of its divisors is an integer number (6198144242976).

Almost surely, 2^{101001121122110} is an apocalyptic number.

101001121122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101001121122110 is a deficient number, since it is larger than the sum of its proper divisors (97339494653122).

101001121122110 is a wasteful number, since it uses less digits than its factorization.

101001121122110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51581368.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101001121122110 its reverse (11221121100101), we get a palindrome (112222242222211).

The spelling of 101001121122110 in words is "one hundred one trillion, one billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred ten".