2101012101120 has 192 divisors, whose sum is σ = 6743240824320. Its totient is φ = 558465843200.

The previous prime is 2101012101119. The next prime is 2101012101131. The reversal of 2101012101120 is 211012101012.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2101012101096 and 2101012101105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9443965 + ... + 9663875.

It is an arithmetic number, because the mean of its divisors is an integer number (35121045960).

Almost surely, 2^{2101012101120} is an apocalyptic number.

2101012101120 is a gapful number since it is divisible by the number (20) 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 2101012101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371620412160).

2101012101120 is an abundant number, since it is smaller than the sum of its proper divisors (4642228723200).

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

2101012101120 is a wasteful number, since it uses less digits than its factorization.

2101012101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220252 (or 220232 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2101012101120 its reverse (211012101012), we get a palindrome (2312024202132).

The spelling of 2101012101120 in words is "two trillion, one hundred one billion, twelve million, one hundred one thousand, one hundred twenty".