101121121011220 has 48 divisors (see below), whose sum is σ = 212470039716480. Its totient is φ = 40426415137664.

The previous prime is 101121121011217. The next prime is 101121121011223. The reversal of 101121121011220 is 22110121121101.

It is an interprime number because it is at equal distance from previous prime (101121121011217) and next prime (101121121011223).

It is a super-2 number, since 2×101121121011220² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101121121011194 and 101121121011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121121011223) 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, 969218697 + ... + 969323023.

It is an arithmetic number, because the mean of its divisors is an integer number (4426459160760).

Almost surely, 2^{101121121011220} is an apocalyptic number.

101121121011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121121011220 is an abundant number, since it is smaller than the sum of its proper divisors (111348918705260).

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

101121121011220 is a wasteful number, since it uses less digits than its factorization.

101121121011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130272 (or 130270 counting only the distinct ones).

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

Adding to 101121121011220 its reverse (22110121121101), we get a palindrome (123231242132321).

The spelling of 101121121011220 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twenty-one million, eleven thousand, two hundred twenty".