1000102021101 has 48 divisors (see below), whose sum is σ = 1618414611840. Its totient is φ = 591407308800.

The previous prime is 1000102021097. The next prime is 1000102021117. The reversal of 1000102021101 is 1011202010001.

It is a happy number.

It is not a de Polignac number, because 1000102021101 - 2² = 1000102021097 is a prime.

It is a super-2 number, since 2×1000102021101² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000102021301) 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, 330225 + ... + 1452326.

It is an arithmetic number, because the mean of its divisors is an integer number (33716971080).

Almost surely, 2^{1000102021101} is an apocalyptic number.

It is an amenable number.

1000102021101 is a deficient number, since it is larger than the sum of its proper divisors (618312590739).

1000102021101 is a wasteful number, since it uses less digits than its factorization.

1000102021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782786 (or 1782783 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000102021101 its reverse (1011202010001), we get a palindrome (2011304031102).

The spelling of 1000102021101 in words is "one trillion, one hundred two million, twenty-one thousand, one hundred one".