101011120101220 has 48 divisors (see below), whose sum is σ = 242699999351040. Its totient is φ = 34593339590784.

The previous prime is 101011120101107. The next prime is 101011120101277. The reversal of 101011120101220 is 22101021110101.

It is a happy number.

It is a super-2 number, since 2×101011120101220² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101011120101220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406588335 + ... + 406836694.

It is an arithmetic number, because the mean of its divisors is an integer number (5056249986480).

Almost surely, 2^{101011120101220} is an apocalyptic number.

101011120101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011120101220 is an abundant number, since it is smaller than the sum of its proper divisors (141688879249820).

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

101011120101220 is a wasteful number, since it uses less digits than its factorization.

101011120101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813425932 (or 813425930 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101011120101220 its reverse (22101021110101), we get a palindrome (123112141211321).

The spelling of 101011120101220 in words is "one hundred one trillion, eleven billion, one hundred twenty million, one hundred one thousand, two hundred twenty".