1022101012100 has 144 divisors (see below), whose sum is σ = 2561715289728. Its totient is φ = 346725980160.

The previous prime is 1022101012087. The next prime is 1022101012103. The reversal of 1022101012100 is 12101012201.

It is a super-3 number, since 3×1022101012100³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1022101012103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46420694 + ... + 46442706.

It is an arithmetic number, because the mean of its divisors is an integer number (17789689512).

Almost surely, 2^{1022101012100} is an apocalyptic number.

1022101012100 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 1022101012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280857644864).

1022101012100 is an abundant number, since it is smaller than the sum of its proper divisors (1539614277628).

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

1022101012100 is a wasteful number, since it uses less digits than its factorization.

1022101012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22734 (or 22727 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1022101012100 its reverse (12101012201), we get a palindrome (1034202024301).

It can be divided in two parts, 102210101 and 2100, that added together give a palindrome (102212201).

The spelling of 1022101012100 in words is "one trillion, twenty-two billion, one hundred one million, twelve thousand, one hundred".