101211002210120 has 192 divisors, whose sum is σ = 252902703438000. Its totient is φ = 36423436769280.

The previous prime is 101211002210113. The next prime is 101211002210137. The reversal of 101211002210120 is 21012200112101.

It can be written as a sum of positive squares in 8 ways, for example, as 14050367617924 + 87160634592196 = 3748382^2 + 9335986^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101211002210095 and 101211002210104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 449896226 + ... + 450121134.

Almost surely, 2^{101211002210120} is an apocalyptic number.

101211002210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101211002210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126451351719000).

101211002210120 is an abundant number, since it is smaller than the sum of its proper divisors (151691701227880).

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

101211002210120 is a wasteful number, since it uses less digits than its factorization.

101211002210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225904 (or 225889 counting only the distinct ones).

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

Adding to 101211002210120 its reverse (21012200112101), we get a palindrome (122223202322221).

The spelling of 101211002210120 in words is "one hundred one trillion, two hundred eleven billion, two million, two hundred ten thousand, one hundred twenty".