101000121211220 has 192 divisors, whose sum is σ = 282608533315584. Its totient is φ = 29351854663680.

The previous prime is 101000121211147. The next prime is 101000121211229. The reversal of 101000121211220 is 22112121000101.

It is a super-2 number, since 2×101000121211220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101000121211195 and 101000121211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000121211229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15226364 + ... + 20828883.

It is an arithmetic number, because the mean of its divisors is an integer number (1471919444352).

Almost surely, 2^{101000121211220} is an apocalyptic number.

101000121211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000121211220 is an abundant number, since it is smaller than the sum of its proper divisors (181608412104364).

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

101000121211220 is a wasteful number, since it uses less digits than its factorization.

101000121211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36055398 (or 36055396 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101000121211220 its reverse (22112121000101), we get a palindrome (123112242211321).

The spelling of 101000121211220 in words is "one hundred one trillion, one hundred twenty-one million, two hundred eleven thousand, two hundred twenty".