1022101202120 has 64 divisors (see below), whose sum is σ = 2375088307200. Its totient is φ = 395456106240.

The previous prime is 1022101202117. The next prime is 1022101202173. The reversal of 1022101202120 is 212021012201.

It is a super-3 number, since 3×1022101202120³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1022101202095 and 1022101202104.

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, 2312837 + ... + 2719083.

It is an arithmetic number, because the mean of its divisors is an integer number (37110754800).

Almost surely, 2^{1022101202120} is an apocalyptic number.

1022101202120 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 1022101202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187544153600).

1022101202120 is an abundant number, since it is smaller than the sum of its proper divisors (1352987105080).

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

1022101202120 is a wasteful number, since it uses less digits than its factorization.

1022101202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408318 (or 408314 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1022101202120 its reverse (212021012201), we get a palindrome (1234122214321).

It can be divided in two parts, 1022101 and 202120, that added together give a palindrome (1224221).

The spelling of 1022101202120 in words is "one trillion, twenty-two billion, one hundred one million, two hundred two thousand, one hundred twenty".